Diophantine approximation by unlike powers of primes
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Number Theory"
DOI: 10.1142/s1793042117501330
Abstract: Let λ1,…,λ5 be nonzero real numbers not all of the same sign, satisfying that λ1/λ2 is irrational, and η be a real number. In this paper, we prove that for any e > 0 λ1p1… read more here.
Keywords: diophantine approximation; powers primes; unlike powers; approximation unlike ... See more keywords
Exceptional set for sums of unlike powers of primes
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DOI: 10.1142/s1793042119500155
Abstract: Let [Formula: see text] denote the number of representations of an even integer [Formula: see text], [Formula: see text] as the sum of two squares, one cube and three fourth powers of primes, and by… read more here.
Keywords: powers primes; exceptional set; formula see; see text ... See more keywords
Exceptional Set for Sums of Symmetric Mixed Powers of Primes
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DOI: 10.3390/sym12030367
Abstract: The main purpose of this paper is to use the Hardy–Littlewood method to study the solvability of mixed powers of primes. To be specific, we consider the even integers represented as the sum of one… read more here.
Keywords: powers primes; exceptional set; set sums; mixed powers ... See more keywords
A result on the c2 invariant for powers of primes
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DOI: 10.4153/s0008439523000243
Abstract: The $c_2$ invariant is an arithmetic graph invariant related to quantum field theory. We give a relation modulo $p$ between the $c_2$ invariant at $p$ and the $c_2$ invariant at $p^s$ by proving a relation… read more here.
Keywords: result invariant; invariant powers; powers primes;